SSC Selection Post 2022 PYQ — Question 75

SSC Selection Post - Higher Secondary Level - 01 Aug 2022 - Shift 3 • Quantitative Aptitude • Q75

A, B, and C can complete a piece of work in 3 days, 4 days, and 6 days, respectively. They get Rs. 432 for completing the job. If A, B, and C work together to complete the job, A’s share is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. Rs. 192.

Combined work rate (A + B + C) = 1/3 + 1/4 + 1/6 = 3/4

Time to complete = 4/3 days

A's work = (1/3) × (4/3) = 4/9

B's work = (1/4) × (4/3) = 1/3

C's work = (1/6) × (4/3) = 2/9

A : B : C = 4/9 : 1/3 : 2/9 = 4 : 3 : 2

A's share = (4/9) × 432 = 192